Atkin-Lehner |
3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
112167p |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3750912 |
Modular degree for the optimal curve |
Δ |
-1.7588058781002E+19 |
Discriminant |
Eigenvalues |
-1 3- 3 2 11- -7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1554026,-772080262] |
[a1,a2,a3,a4,a6] |
j |
-2656007409913/112550881 |
j-invariant |
L |
0.53953553508643 |
L(r)(E,1)/r! |
Ω |
0.067441818379533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12463c1 112167n1 |
Quadratic twists by: -3 -11 |